Reservoir EngineeringThermal Gradients
Horner Time Ratio for Bottom-Hole Temperature Correction Formula
Horner Time Ratio for Bottom-Hole Temperature Correction calculates dimensionless horner time ratio for thermal gradients workflows in reservoir engineering.
How engineers use this formula
Use this formula when the listed inputs (t_c, delta_t) are known and the assumptions behind the cited thermal gradients relationship match the engineering case being checked.
Assumptions
- Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
- The declared units match the field-unit constants used in the formula.
- The cited formula applies to the selected petroleum engineering workflow.
Limitations
- The calculation does not replace a full engineering model or operating procedure.
- Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.
Common mistakes
- Mixing unit systems without converting the inputs.
- Using default example values as field recommendations.
- Applying the formula outside the source assumptions.
Default example
Using the default inputs, H_horner equals 3.5 dimensionless.
t_chr
5
delta_thr
2
Inputs
t_c
hrMud Circulation Time Before Shut-In
delta_t
hrTime Since Circulation Stopped
Outputs
H_horner
dimensionless
Dimensionless Horner Time Ratio
t_c
hr
Mud Circulation Time Before Shut-In
delta_t
hr
Time Since Circulation Stopped
Source and review
reviewedGosnold et al. 2005. Uncertainty estimates of static formation temperatures in boreholes, Geophysical Journal International.
Source